Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63175u |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
2211125 = 53 · 72 · 192 |
Discriminant |
Eigenvalues |
0 -2 5- 7- -5 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-63,159] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] [-6:111:8] |
Generators of the group modulo torsion |
j |
622592/49 |
j-invariant |
L |
5.559061943164 |
L(r)(E,1)/r! |
Ω |
2.5412681273196 |
Real period |
R |
0.54687872989744 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63175p1 63175s1 |
Quadratic twists by: 5 -19 |